“AssociatedPrime”的概念、定义、习题解题方法及翻译-数学辞典

单词	AssociatedPrime
释义	associated prime Let $R$ be a ring,and let $M$ be an $R$ -module.A prime ideal $P$ of $R$ is an for $M$ if $P={\\rm ann}(X)$ , the annihilator of some nonzero submodule $X$ of $M$ . Note that if this is the case, then the module ${\\rm ann}_{M}(P)$ contains $X$ , has $P$ as its annihilator,and is a faithful (http://planetmath.org/FaithfulModule) $(R/P)$ -module. If, in addition, $P$ is equal to the annihilator of a submodule of $M$ that is a fully faithful (http://planetmath.org/FaithfulModule) $(R/P)$ -module, then we call $P$ an of $M$ .
随便看	ProofOfACorollaryToEulerFermatTheorem proof of a corollary to Euler-Fermat theorem ProofOfAdditionFormulaOfExp proof of addition formula of exp ProofOfAdditiveFormOfHilbertsTheorem90 proof of additive form of Hilbert’s theorem 90 ProofOfAlgebraicIndependenceOfElementarySymmetricPolynomials proof of algebraic independence of elementary symmetric polynomials ProofOfAllPositiveIntegersArePoliteNumbersExceptPowersOfTwo proof of all positive integers are polite numbers except powers of two ProofOfAlonChungLemma proof of Alon-Chung lemma ProofOfAlternatingSeriesTest proof of alternating series test ProofOfAlternativeCharacterizationOfFilter proof of alternative characterization of filter ProofOfAlternativeCharacterizationOfUltrafilter proof of alternative characterization of ultrafilter ProofOfAmdahlsLaw proof of Amdahl’s Law ProofOfAngleSumIdentities proof of angle sum identities ProofOfApolloniusTheorem proof of Apollonius theorem proof of Apollonius theorem

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

associated prime